5148927590400 has 972 divisors, whose sum is σ = 20770461688704. Its totient is φ = 1207959552000.

The previous prime is 5148927590383. The next prime is 5148927590407. The reversal of 5148927590400 is 40957298415.

It is a happy number.

5148927590400 is a `hidden beast` number, since 5 + 1 + 4 + 8 + 9 + 2 + 7 + 590 + 40 + 0 = 666.

It is a super-2 number, since 2×5148927590400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5148927590407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 166094438385 + ... + 166094438415.

Almost surely, 2^{5148927590400} is an apocalyptic number.

5148927590400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5148927590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10385230844352).

5148927590400 is an abundant number, since it is smaller than the sum of its proper divisors (15621534098304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5148927590400 is an frugal number, since it uses more digits than its factorization.

5148927590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 5148927590400 in words is "five trillion, one hundred forty-eight billion, nine hundred twenty-seven million, five hundred ninety thousand, four hundred".